The formula F=9/5(k-273.15)+32 converts a temperature from kelvin K to degrees Fahrenheit F.

Step One

Deduct 32 from both sides.

F - 32 = \frac{9}{5}(k - 273.15)

Step Two

Multiply each side by \frac{5}{9}.

\frac{5}{9}(F - 32) = \frac{5}{9} \times \frac{9}{5}(k - 273.15)

\frac{5}{9}(F - 32) = k - 273.15

Step Three

Add 273.15 to both sides.

\frac{5}{9}(F - 32) + 273.15 = k

Problem B

F = 180

Solve for k

k = \frac{5}{9}(F - 32) + 273.15

k = \frac{5}{9}(180 - 32) + 273.15

k = \frac{5}{9} \times 148 + 273.15

k = 82.2222 + 273.15

k = 355.3722

k = 355.4  <<< Answer

Answer :

(a)

(b) The temperature expressed in Kelvin is 355.37 K

Detailed explanation:

To convert a temperature from Fahrenheit to Kelvin, the formula used is:

Where:

= Fahrenheit temperature

= Kelvin temperature

(a) We can rearrange the formula to isolate Kelvin (K):

Resulting in the formula:

(b) Converting to Kelvin (K):

Therefore, the temperature converted to Kelvin is 355.37 K